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A novel quantum mechanical framework in discrete space and time leads to the derivation of the relativistic energy equation and a potential path toward quantum gravity. A unique approach to geometry is also derived where pregeometric points containing intrinsic compactified geometries generate a topologically 4D cosmos with a local dynamical 3D geometry. An interpretation of the quantum mechanics wavefunction is considered as longitudinal density waves traveling through dynamical pregeometric points. Similarly, general relativity can be described as density variations of the pregeometric points caused by matter-energy distribution. A primordial quantum (Higgs) field emerging at the big bang that generates all the other quantum fields is considered. A four-dimensional structure of black holes, and dark matter and energy are discussed. [ABSTRACT FROM AUTHOR]

For about hundred years, modern physics has not been able to build a bridge between quantum mechanics (QM) and gravity. However, a solution may be found here. We present our quantum gravity theory, which is rooted in indivisible particles where matter and gravity are related to collisions and can be described by collision-space-time. In this paper, we also show that we can formulate a quantum wave equation rooted in collision-space-time, which is equivalent to mass and energy. The beauty of our theory is that most of the main equations that currently exist in physics are, in general, not changed in terms of predictions and what we could call structural form, except at the Planck scale. The Planck scale is directly linked to gravity, which has obviously already been detected, and gravity is actually a Lorentz symmetry as well as a form of Heisenberg uncertainty break down at the Planck scale. Our theory gives a dramatic simplification of many physics formulas without altering the output predictions, except at the Planck scale, and this new formulation gives us a unified theory. The relativistic wave equation, the relativistic energy momentum relation, and Minkowski space can all be represented by simpler equations when we understand mass at a deeper level. This is not attained at a cost, but rather a reflection of the benefit in having gravity and QM unified under the same theory. [ABSTRACT FROM AUTHOR]

Gravity has been shown in theories of relativity to be the curving of space around massive bodies. Thus, objects in orbits are following a straight line along a curved space. Why massive bodies curve space is not explained. We continue to ask "What is Gravity?" Quantum mechanics unites theories of electro-magnetism (QED), the weak nuclear force (EWT), and the strong nuclear force (QCD) in the standard model of particle physics, or with a grand unified theory (GUT) sought for these three fundamental forces. As yet there is no empirically verified quantum theory of gravity unified with these three fundamental forces. Considering gravity to be the curving of space, it is evident that gravity supervenes from the properties of space itself. In this short paper, we will attempt to define one of these spatial properties. We will not attempt to define the properties of time, though time appears to be a part of a complete model of gravity. At least in this regard, and likely in many others, our model will be incomplete. We will build a case for the massive collapse of probability density waves (PDWs) in surrounding space, due to the interactions of particles in massive bodies. The collapse of these probabilities, of each particle's possible superposition somewhere in the surrounding space, causes the apparent "curving" of space. We will conclude that space is not the absence of things. Space is a thing in itself. Included in the properties of space is the potential to contain/transmit PDWs. This potential is suggested by both the theories of relativity and the experimental observations of quantum mechanics. In the presence of massive bodies, particle superposition and the probability of existence in the surrounding space is, to varying degrees, lost and space appears to curve as a consequence. [ABSTRACT FROM AUTHOR]

The quantum description of gravity is obtained by coupling the principles of general theory of relativity with those of quantum mechanics and string theory. [ABSTRACT FROM AUTHOR]